A pollster is interested in comparing the proportions of women and men in a particular town who are in favor of a ban on fireworks within town borders. The pollster plans to test the hypothesis that the proportion of women in favor of the ban is different from the proportion of men in favor of the ban. There are 4,673 women and 4,502 men who live in the town. From a simple random sample of 40 women in the town, the pollster finds that 38 favor the ban. From an independent simple random sample of 50 men in the town, the pollster finds that 27 favor the ban. Which of the following statements is true about this situation?

A \(z\)-test can be used when the standard deviation of the population is known, or it can be estimated when the sample size is large enough (\(\geq\)30). Since the men sample only contains 27 people, the requirement is not met and a \(z\)-test is not appropriate.